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math.AP2026
Lower bound on Dirac resonances with mass-type potentials in the semi-classical limit
Zhuo Chen, Michael Melgaard
We establish lower bounds on the number of resonances for three-dimensional semiclassical Dirac operators with mass-type potentials. For a pair $\Dl_j=\Dl_0+\mbfβv_j$, , sat…
math.AP2026
Resonance expansions and local-energy decay estimates for Dirac operators
Zhuo Chen, Michael Melgaard
We study resonance expansions and localised long-time dynamics for three-dimensional semiclassical Dirac operators. For smooth Hermitian matrix-valued perturbations which are analy…